Among the problems that are solved successfully within the concept of singular optical, one must emphasize:
the techniques for generation of isolated singularities (also called wave front dislocations, vortices, or amplitude
zeroes) in the field [ 1,2];
the topology of the network of amplitude zeroes for the speckle field at the model (qualitative) level [3-5];
the optical techniques for diagnostics of singularities for the field [6,7];
the use of singularities for the field in solving application problems, such as manipulating small particles (i.e. optical
traps and tweezers) [8,9].
The interest in the study of local amplitude and phase structures of the field in the vicinity of singularities, not only
for monochromatic radiation field but also for polychromatic fields, has considerably increased recently [3, 10-12].
Papers [13, 14] devoted to the study of the scenario and mechanisms of nucleation and evolution of singularities in the vicinity of caustics have appeared.